Eigenstate Structure in Graphs and Disordered Lattices

Details Eigenstate Structure in Graphs and Disordered Lattices Eigenstate Structure in Graphs and Disordered Lattices

2001-01-26

arxiv.org/abs/nlin/0101048v1

Phys. Rev. E 64, 036225 (2001)

Nonlinear Sciences

Chaotic Dynamics

4 pages, including 2 figures

Scientific paper

10.1103/PhysRevE.64.036225

We study wave function structure for quantum graphs in the chaotic and disordered regime, using measures such as the wave function intensity distribution and the inverse participation ratio. The result is much less ergodicity than expected from random matrix theory, even though the spectral statistics are in agreement with random matrix predictions. Instead, analytical calculations based on short-time semiclassical behavior correctly describe the eigenstate structure.

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